Home / 2,277.95-3,414.85-816.75

Finding the Fourth Proportional to 2,277.95, 3,414.85 and 816.75

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Solution

The fourth proportional to 2,277.95, 3,414.85 and 816.75 is: 1,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.95 : 3,414.85 = 816.75 : x
  2. Step 2: Convert to fraction form
    2,277.95/3,414.85 = 816.75/x
  3. Step 3: Cross multiply
    2,277.95x = 3,414.85 × 816.75
  4. Step 4: Simplify right side
    2,277.95x = 2,789,076.70
  5. Step 5: Solve for x
    x = 2,789,076.70/2,277.95
  6. Step 6: Final answer
    x = 1,224.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.